Pete's record shows he had fifteen active seasons in the minor leagues between the years of 1941 and 1960. He started with the Miami Wahoos of the Florida East Coast League in 1941 and ended up with the Little Rock Travelers of the Southern Association in 1960. During this run, he appeared with twelve different teams in eight different leagues. Pete had reached the age of forty when he left the game with 120 wins and 121 losses with a 3.79 ERA, while appearing in 449 games and pitching 2,015 innings.

Wojey was a retired safety director for the Alabama Dry Dock
and Shipbuilding Company in Mobile, AL, where he died on April 23, 1990, at the age of 71.